Atiyah–Bott localization theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
manifolds with torus action
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:equivariant_cohomology |
| gptkbp:generalizes |
gptkb:Lefschetz_fixed-point_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Atiyah–Bott localization theorem
|
| gptkbp:namedAfter |
gptkb:Michael_Atiyah
gptkb:Raoul_Bott |
| gptkbp:publishedIn |
Topology journal
|
| gptkbp:relatedTo |
equivariant cohomology ring
fixed point formula |
| gptkbp:state |
integrals over a manifold with torus action can be computed as a sum over fixed points
|
| gptkbp:usedIn |
mathematical physics
enumerative geometry moduli space computations |
| gptkbp:yearProposed |
1984
|
| gptkbp:bfsParent |
gptkb:equivariant_cohomology
|
| gptkbp:bfsLayer |
7
|